Robust Decentralized H&lt;sub&gt;&amp;#x0221E;&lt;/sub&gt; Control of Multi-Channel Uncertain Time-Delay Systems: An LMI Approach

Chen, N.; Zhang, X.; Gui, Weihua

doi:10.1109/icma.2006.257561

Cited by 2 publications

(5 citation statements)

References 9 publications

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“…In [30], a decentralized stabilizing controller is developed for interconnected fixed time delay systems. Stabilization of a class of time-varying large scale systems subject to timevarying delays was investigated in [31], [32]. The existing decentralized control strategies in the literature for timevarying delay systems all assume that the delay functions vary slowly with time.…”

Section: ) Non-negative Orthant Stabilitymentioning

confidence: 99%

“…An H ∞ centralized routing controller for the traffic network with dynamical queuing model(12)is obtained by solving the optimization problem:min Y1,Y2,S,M,Ni,i=1,2,3 γ(33)subject to positive definite matrices Y 1 , Y 2 ,S,N 3 and the LMI conditions W 1 , W c1 , W c2k , W c3 − W c6 as governed by equations(15),(25),(26),(29),(31), and (32), respectively. Proof: Follows from the constructive derivations given in this section.…”

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confidence: 99%

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A novel Hα control strategy for design of a robust dynamic routing algorithm in traffic networks

Abdollahi

Khorasani

2008

IEEE J. Select. Areas Commun.

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In this paper novel centralized and decentralized routing control strategies based on minimization of the worst-case queuing length are proposed. The centralized routing problem is formulated as an H∞ optimal control problem to achieve a robust routing performance in presence of multiple and unknown fast time-varying network delays. Unlike similar previous work in the literature the delays in the queuing model are assumed to be unknown and time-varying. A Linear Matrix Inequality (LMI) constraint is obtained to design a delay-dependent H∞ controller. The physical constraints that are present in the network are then expressed as LMI feasibility conditions. Our proposed centralized routing scheme is then reformulated in a decentralized frame work. This modification yields an algorithm that obtains the "fastest route", increases the robustness against multiple unknown time-varying delays, and enhances the scalability of the algorithm to large scale traffic networks. Simulation results are presented to illustrate and demonstrate the effectiveness and capabilities of our proposed novel dynamic routing strategies.

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Section: ) Non-negative Orthant Stabilitymentioning

confidence: 99%

mentioning

confidence: 99%

A novel Hα control strategy for design of a robust dynamic routing algorithm in traffic networks

Abdollahi

Khorasani

2008

IEEE J. Select. Areas Commun.

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“…The H ∞ robust optimal control strategy is a good candidate to deal with system uncertainties and unknown timedelay systems [9], [10], [11].…”

Section: B Problem Formulationmentioning

confidence: 99%

“…In [13], a decentralized stabilizing controller is developed for interconnected fixed time delay systems. Stabilization of a class of time-varying large scale systems subject to timevarying delays were investigated in [11], [14].…”

Section: A Delay-dependent Decentralized H ∞ Controllermentioning

confidence: 99%

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A decentralized H<inf>∞</inf> control scheme for robust routing in networks

Abdollahi¹,

Khorasani²

2007

2007 46th IEEE Conference on Decision and Control

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A new decentralized routing strategy using H∞ optimal control is introduced in this paper. For each node a local state feedback control is designed such that the proposed global objective function which is the worst-case queuing length is minimized. By taking advantage of H∞ control theory, a robust routing performance in the presence of unknown fast time varying network delays is achieved. The resulting optimization problem is then recast as a linear objective minimization problem involving Linear Matrix Inequality (LMI) constraints. The physical constraints are also expressed as LMI feasibility conditions. Simulation results are presented to illustrate and demonstrate the effectiveness of our proposed routing strategy.

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Robust Decentralized H<sub>∞</sub> Control of Multi-Channel Uncertain Time-Delay Systems: An LMI Approach

Cited by 2 publications

References 9 publications

A novel Hα control strategy for design of a robust dynamic routing algorithm in traffic networks

A novel Hα control strategy for design of a robust dynamic routing algorithm in traffic networks

A decentralized H<inf>∞</inf> control scheme for robust routing in networks

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Robust Decentralized H<sub>&#x0221E;</sub> Control of Multi-Channel Uncertain Time-Delay Systems: An LMI Approach

Cited by 2 publications

References 9 publications

A novel Hα control strategy for design of a robust dynamic routing algorithm in traffic networks

A novel Hα control strategy for design of a robust dynamic routing algorithm in traffic networks

A decentralized H<inf>&#x221E;</inf> control scheme for robust routing in networks

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Robust Decentralized H<sub>∞</sub> Control of Multi-Channel Uncertain Time-Delay Systems: An LMI Approach

A decentralized H<inf>∞</inf> control scheme for robust routing in networks